Skew Symplectic and Orthogonal Schur Functions

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• ISSN: 1815-0659
• Main Authors: Jing, Naihuan, Li, Zhijun, Wang, Danxia
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212266
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Skew Symplectic and Orthogonal Schur Functions. Naihuan Jing, Zhijun Li and Danxia Wang. SIGMA 20 (2024), 041, 23 pages

Using the vertex operator representations for symplectic and orthogonal Schur functions, we define two families of symmetric functions and show that they are the skew symplectic and skew orthogonal Schur polynomials defined implicitly by Koike and Terada and satisfy the general branching rules. Furt...